NO LINKS!!! NOT A MULTIPLE CHOICE!!
8. a. Finish the table
b. Name the type of sequence
Answers
Answer:
To determine the type of sequence, calculate the differences between the terms:
\(33 \underset{+10}{\longrightarrow} 43 \underset{+10}{\longrightarrow} 53\)
Therefore, this is an arithmetic sequence, as the difference between the terms is constant → the common difference is 10.
General form of an arithmetic sequence:
\(a_n=a+(n-1)d\)
where:
\(a_n\) is the nth terma is the first termd is the common difference between termsTo find the first term, substitute the known values into the formula and solve for a:
\(\begin{aligned}\implies a_4=a+(4-1)10 & =33\\a+30 & = 33\\a & = 3\end{aligned}\)
Therefore:
\(\implies a_n=3+(n-1)10\)
\(\implies a_n=3+10n-10\)
\(\implies a_n=10n-7\)
Finding the 7th and 8th terms:
\(\implies a_7=10(7)-7=63\)
\(\implies a_8=10(8)-7=73\)
Part (a)
\(\large \begin{array}{| c | c | c | c | c | c |}\cline{1-6} n & 4 & 5 & 6 & 7 & 8 \\\cline{1-6} t(n) & 33 & 43 & 53 & 63 & 73 \\\cline{1-6}\end{array}\)
Part (b)
Arithmetic sequence
Part (c)
\(a_n=10n-7\)
Related Questions
i will mark brainlyest plss helpp
Which table has a constant of proportionality between yyy and xxx of 0.30.30, point, 3?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
xxx yyy
666 222
121212 444
303030 101010
(Choice B)
B
xxx yyy
333 1.81.81, point, 8
777 4.24.24, point, 2
999 5.45.45, point, 4
(Choice C, Checked)
C
xxx yyy
444 1.21.21, point, 2
888 2.42.42, point, 4
131313 3.93.9
Answers
Answer:
The answer is C
Step-by-step explanation:
i also use khan
Answer:
table C
Step-by-step explanation:
each one is multiplied by .30
:)
Write the expression for the following statement without
any spaces:
the sum of 64y and 3, cubed can be expressed as
Answers
The expression of the statement that is given above can be written as follows: 262144y³ + 27.
How to determine a way to express the given statement?To determine how to express the given statement the following should be carried out.
When a number is said to be cubed, it means that the number should be times by itself three consecutive times.
That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,
= 64×64×64(y)³ + 3×3×3
= 262144y³ + 27.
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The table shows prices for newspaper advertising. A store purchased 1/4 pages, 1/2 pages and full pages of page space in equal numbers for a total of $11,500. What is the total amount of page space the store purchased? PRICES FOR NEWSPAPER1/4 pages. $200 1 /2 pages $350 full page. $600
Answers
Let n be the amount of pages of each type. Since pages of 1/4, 1/2 and full pages were bought in equal amounts, then the total amount of purchased paper is:
\(n\times\frac{1}{4}+n\times\frac{1}{2}+n\times1=(\frac{1}{4}+\frac{1}{2}+1)n\)On the other hand, since each 1/4 page costs $200, each 1/2 page costs $350 and a full page $600, then the total amount of money spent on that is:
\(200n+350n+600n=1150n\)The total is also equal to $11,500. Then:
\(\begin{gathered} 1150n=11,500 \\ \Rightarrow n=\frac{11,500}{1150} \\ \Rightarrow n=10 \end{gathered}\)Then, substitute n=10 into the first expression to find the total amount of page space that was purchased:
\((\frac{1}{4}+\frac{1}{2}+1)\times10=\frac{7}{4}\times10=\frac{35}{2}=17.5\)Therefore, the total amount of space that was purchased was:
\(17.5\text{ pages}\)Eric's goal is to walk 2.75 miles to and from the park every day for an entire year. If he meets his goal, how many miles will Eric walk?
Answers
Explanation: The round trip to go to the park is 5.5 (2.75 times). Then multiply 5.5 by 365 days and you’ll get 2,007.5
A cannonball is fired in the air at an angle of 45°. How far does it travel before it is 600 feet above ground? (Assume the cannonball travels in a straight line. Ignore the force of gravity and wind resistance. Round your answer to the nearest foot.)
Answers
Answer:
Step-by-step explanation:
Since the cannonball is fired at an angle of 45°, it will have the same horizontal and vertical velocities.
Let x be the distance it travels before it is 600 feet above ground. At this point, its vertical displacement will be 600 feet, and we can use the formula for vertical displacement:
y = v0*t + (1/2)at^2
Since there is no initial vertical velocity and we are ignoring gravity, a = 0 and the equation simplifies to:
y = 0*t + 0 = 600
Solving for t, we get:
t = sqrt(2y/a) = sqrt(2*600/0) = undefined
This means that the cannonball will never be 600 feet above ground if we ignore gravity. Since this is not realistic, we cannot answer this question without additional information or by assuming that gravity is acting on the cannonball.
The table represents an exponential function.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, two-fifths, StartFraction 2 Over 25 EndFraction, StartFraction 2 Over 125 EndFraction.
What is the multiplicative rate of change of the function?
Answers
Answer:
b. x/8 + x/16 = 3/4
4 miles
Step-by-step explanation:
edge
The first used 20 gal of fuel and the second used 25 gal. The 2 drove 1450 miles and the sum of their fuel efficiencies was 65 miles per gal. What we’re each car fuel efficiency?
Answers
Answer: there you go :)
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Step-by-step explanation:
Let x = gallons consumed by car 1
Let y = gallons consumed by car 2
We set up our equations:
35x+40y = 1850 eq1
x+y = 50 eq2
Substituting eq 2 into eq 1,
35x+40(50-x) = 1850
35x+2000-40x = 1850
-5x+2000 = 1850
-5x = -150
x = 30
Substitute value of x into eq 2.
x+y = 50
30+y = 50
y = 20
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Given m∥n, find the value of x.
Answers
Answer:
x = 11
Step-by-step explanation:
The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.
Step 1: Thus, we can find the value of x by setting the two angles equal to each other:
7x + 14 = 9x - 8
7x + 22 = 9x
22 = 2x
11 = x
Optional Step 2: We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:
7(11) + 14 = 9(11) - 8
77 + 14 = 99 - 8
91 = 91
PLZ ANSWER IF U KNOW THE ANSWER
Answers
Answer:
Scott
Step-by-step explanation:
you got it right, -20 absolute value is 20
Freddie made the number line below to model the laps he walks around a track at his
school. He walks a total of 1} miles. Each lap is į mile. How many laps does Freddie walk
around the track?
Answers
Answer:
On a standard running 400-meter track a mile is 4 laps… plus 9 more meters if you want to get all technical about it. A mile is specifically 1,609.3 meters.
Step-by-step explanation:
Julio tiene 12 años de edad y su padre tiene 42 años. ¿Cuántos años tendrá Julio cuando su padre tenga el doble de su edad?
Answers
Julio will be 30 years old when his father is twice his age.
To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.
Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.
For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.
Setting up an equation to solve for x:
x + 30 = 2x
Simplifying the equation, we subtract x from both sides:
30 = x
Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.
Therefore, Julio will be 30 years old when his father is twice his age.
Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?
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GIVING BRAINLIST PLEASE HELP!!!
Answers
The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %
How to find the probability ?The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.
This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :
= Angle measure of red - shaped area / Total area x 100 %
= 165 / 360 x 100 %
=0. 45833 x 100 %
= 45. 833 %
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Suppose a person built a sandcastle of moon sand on the moon. What would that person find there a month later?(1 point)
The sandcastle would be much smaller because changing winds would have eroded much of the sand away.
The sandcastle would have grown larger by collecting more sand particles because moon sand is blown by wind.
The sandcastle would remain in place the same size that it was because the moon has no wind.
The sandcastle would have grown larger because moon sand particles attract other moon sand particles.
Answers
Answer:
c
Step-by-step explanation:
Answer: C. The sandcastle would remain in place the same size that it was because the moon has no wind.
Step-by-step explanation:
just took 8th grade connexus test.
please help me in this question
3(x-2)=2x+10
Answers
Answer:
\(3(x-2)=2x+10\\3x-6=2x+10 | +6\\3x=2x+16 | -2x\\x = 16\)
30.
a) \(180^{0} - 134^0-22^0=24^0\)
\(r=24^0\)
b)
\(90^0=2x^0+3x^0\\90^0=5x^0 |:5\\x^0=18^0\)
\(2x^0= 2* 18^0=36^0\)
\(3x^0=3*18^0=54^0\)
Take care!
The probability of waiting 2 minutes or longer for checkout at a particular supermarket counter is 0.3. On a given day, a man and his wife decide to shop individually at the market, each checking out at different counters. They both reach the counters at the same time. What is the probability that one or the other or both will wait 2 minutes or longer?
Answers
Answer:
The probability answer is 69/100
Step-by-step explanation:
The probability of waiting 2 minutes or longer = 0.3= (3/10)
The probability of not waiting longer = 1 - (3/10) = (7/10)
For the man,
P(waiting 2 mins or longer) = 3/10
For the woman,
P(waiting 2 mins or longer) = 3/10
Therefore,
The probability that one or the other or both will wait 2 minutes or longer
= P(man waits 2 mins or longer) or P(woman waits 2 mins or longer) or P(both waits 2 mins or longer)
= (3/10) or (3/10) or ( (3/10) and (3/10) )
= (3/10) + (3/10) + ( (3/10) X (3/10) )
= (6/10) + (9/100)
= (69/100)
true or false "the product of -6 and -7 is less than the quotient of -100 and 2."
Answers
Answer:
False. -50 is less than 42 because it’s a negative and 42 is a positive.
Step-by-step explanation:
-6 x -7 = 42
-100 ÷ 2 = -50
Answer:
false
Step-by-step explanation:
assuming equal population standard deviations for the two groups, give a 95% confidence interval for the
Answers
Answer: Give more info pls
Step-by-step explanation:
Ben's Barbershop has a rectangular logo for their business that measures 7(1)/(5) feet long with an area that is exactly the maximum area allowed by the building owner. Create an equation that could be used to determine M, the unknown side length of the logo.
Answers
An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M
Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:
A = L x W
where A is the area of the logo, L is the length of the logo, and W is the width of the logo.
Substituting the given values, we get:
A = (7(1)/(5)) x M
or
A = (36/5) x M
Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:
A = X
Combining both equations, we get:
X = (36/5) x M
This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.
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A bakery can make 6 cheesecakes for every 60 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses?
Answers
Number of cheesecakes | Number of blocks of cream cheese
Cheesecakes Blocks of Cream Cheese
6 60
12 120
18 180
24 240
30 300
The table above represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses. It shows that for every 60 blocks of cream cheese, the bakery can make 6 cheesecakes, and as the number of blocks of cream cheese increases, the number of cheesecakes the bakery can make also increases in multiples of 6.
How many cheesecakes can the bakery make using 90 blocks of cream cheese?If the bakery can make 6 cheesecakes for every 60 blocks of cream cheese, we can set up a proportion to find out how many cheesecakes they can make using 90 blocks of cream cheese:
6 cheesecakes / 60 blocks of cream cheese = x cheesecakes / 90 blocks of cream cheese
To solve for x, we can cross-multiply:
6 cheesecakes * 90 blocks of cream cheese = 60 blocks of cream cheese * x cheesecakes
540 cheesecakes = 60x
Dividing both sides by 60, we get:
x = 9 cheesecakes
Therefore, the bakery can make 9 cheesecakes using 90 blocks of cream cheese.
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Find the slope using the formula.
(-2, -8) and (4, -6)
I WILL GIVE BRAINLIEST
Answers
Answer:
1/3 slope
y = mx + b
y =1/3 x + b
Step-by-step explanation:
y2-y1 -6 - -8 = 2
x2-x1 4 - -2= 6
6/2 simplified 1/3 (slope)mm
What are the positive and negative square roots of 256?
Answers
Answer:
16 and -16
Hope this helps! :)
Suppose you roll a six-sided die. What is the probability that a 2 or 5 is NOT rolled? (in fraction form)
A) 1/6
B)2/6
C) 3/6
D)4/6
Answers
On solving the provided question, we can say that the probability that a 2 or 5 is NOT rolled is - 1- 1/3 = 2/3
What is probability?A branch of mathematics called probability describes the likelihood that an event will occur or that a proposition is true. The probability of an event ranges from 1 to 1, with 1 indicating certainty and numbers in between indicating the difficulty of the event.
to determine the likelihood of rolling a die with a 2 or a 5 on it. The probability formula can be used to do this.
\(P(E) = (Number of times event occurs)/(Total number of trials)\)
S = 1, 2, 3, 4, 5, 6 is a sample space of potential results when rolling a dice.
If the likelihood of rolling a die and having a result of 2 or 5 is event E.
Number of occurrences [n(E)] = 2
[n(S)] = 6 trials in all
\(P(E) = 2/6 = \frac{1}{3}\)
So, the probability that a 2 or 5 is NOT rolled is - \
1- 1/3 = 2/3
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Please help!
f(x)=x^2 what is g(x)
Answers
A.
Observe that point \((3,3)\) can only be obtained via function A: \(\frac{1}{3}3^2=3\).
In all other cases it fails,
\(\frac{1}{9}3^2\neq3\)
\(3\cdot3^2\neq3\)
\((\frac{1}{3}\cdot3)^2\neq3\)
Hope this helps :)
how many are 15 x 15 ?
Answers
Answer:
225
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
what is the volume of the aquarium?
Answers
Answer:
3000 in3 ? I haven't actually done this i-ready before- but I believe it's
Width x Length x Height = Final result?
Step-by-step explanation:
Will mark BRAINLIEST
Answers
answer
The product is 7/6 in simplest form.explanation
Convert the mixed number into an improper fraction.–7/5 * (–5/6)
multiplying by two negatives equal a positive.7/5 * 5/6
Reduce numbers with GCF of 57 * 1/6
Calculate the product.= 7/6
as a mixed number = 1 1/6
as decimal form = 1.16…
Bella asked 40 students to name their favorite food. 10 students said their
favorite food was pizza. What percent of the students Bella surveyed said
their favorite food was pizza?
Answers
Answer:
25%
Step-by-step explanation:
10 is 25% of 40.
Point A' is the image of point A under a rotation about the origin, (0,0).
y
1
7
6
A.
5
4
3-
2
1-
-7-6-5-4-3-2
2 3 4 5 6 7
-2
-3
-4
-5
-6
-7-
Answers
Answer: it’s 180 degrees
Step-by-step explanation: answered on khan academy
what is the center and radius of the circle?(x - 6)² + (y + 8)² = 81
Answers
The general equation for a circle is:
\((x-h)^2+(y-k)^2=r^2\)where (h,k) is the center and r is the radius.
In this case, we have the following:
\((x-6)^2+(y+8)^2=81\)Notice that we can write the equation in the following way:
\(\begin{gathered} (x-6)^2+(y+8)^2=81 \\ \Rightarrow(x+6)^2+(y-(-8))^2=(9)^2 \end{gathered}\)therefore, the center of the circle is (h,k)=(6,-8) and the radius is r=9
Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes
Answers
Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again. Then the correct option is A.
What is a function?
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Yana is in the school computer lab writing a paper for history class. The graph represents the number of words Yana has written after a number of minutes.
The graph is given below.
From the graph, Yana opened her saved paper, wrote, took a break, deleted some of the words, and then began writing again.
Then the correct option is A.
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